Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/184, 822/818, 377/854 quickly i.e. 2169258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/184, 822/818, 377/854 is 2169258.
LCM(84/184, 822/818, 377/854) = 2169258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/184,822/818,377/854
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 84,822,377
Least Common Multiple of Numerators i.e. LCM of 84,822,377 is 4338516.
GCF of Denominators means GCF of 184,818,854 as per the given fractions.
GCF of 184,818,854 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,822,377
2 | 84, 822, 377 |
3 | 42, 411, 377 |
14, 137, 377 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 137 x 377 = 4338516
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 84,822,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,822,377) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(84,822,377) x common factors =1 x 6 = 6
LCM(84,822,377) = ( 84 × 822 × 377 ) / 6
LCM(84,822,377) = 26031096 / 6
LCM(84,822,377) = 4338516
Lets's calculate GCF of 184,818,854
2 | 184, 818, 854 |
92, 409, 427 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4338516/2
Therefore the LCM of Fractions 84/184,822/818,377/854 is 2169258
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 184,818,854 . The biggest common factor number is the GCF number.
So the greatest common factor 184,818,854 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 84/184, 822/818, 377/854?
Answer: LCM of Numerators as per given numbers 84/184, 822/818, 377/854 is
LCM of Numerators i.e. for 84,822,377 is 4338516
GCF of denominators i.e. for 184,818,854 is 2.
Thus, LCM of Fractions is 2169258.Finally, LCM of Fractions for 84/184, 822/818, 377/854 is 2169258.